Localized modulated wave solutions in diffusive glucose–insulin systems

A. Mvogo,Antoine Tambue,G. Ben-Bolie,T. Kofané

Published 2015 in Physics Letters A

ABSTRACT

Abstract We investigate intercellular insulin dynamics in an array of diffusively coupled pancreatic islet β -cells. The cells are connected via gap junction coupling, where nearest neighbor interactions are included. Through the multiple scale expansion in the semi-discrete approximation, we show that the insulin dynamics can be governed by the complex Ginzburg–Landau equation. The localized solutions of this equation are reported. The results suggest from the biophysical point of view that the insulin propagates in pancreatic islet β -cells using both temporal and spatial dimensions in the form of localized modulated waves.

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